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A Review of the Research into the Mathematical Problems of Mechanics and Control Theory at the Institute of Mathematics of the National Academy of Sciences of Ukraine

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Ukrainian Mathematical Journal Aims and scope

We present a review of the research into the mathematical problems of mechanics and control theory carried out at Institute of Mathematics of the National Academy of Sciences of Ukraine for the entire period of its existence.

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References

  1. A. M. Samoilenko, V. V. Strok, and V. I. Sukretnyi, Chronicle-2005: Pages of History of the Institute of Mathematics, National Academy of Sciences of Ukraine [in Ukrainian], Institute of Mathematics, National Academy of Sciences of Ukraine, Kyiv (2005).

  2. J. Carlson, A. Jaffe, and A. Wiles, The Millennium Prize Problems, Providence, RI (2006).

  3. N. M. Krylov and N. N. Bogolyubov, Application of the Methods of Nonlinear Mechanics to the Theory of Stationary Oscillations [in Russian], Ukrainian Academy of Sciences, Kiev (1934).

  4. N. M. Krylov and N. N. Bogolyubov, Introduction to Nonlinear Mechanics: Approximate and Asymptotic Methods of Nonlinear Mechanics [in Russian], Akademiya Nauk Ukr. SSR, Kiev (1937).

  5. A. M. Samoilenko and R. I. Petryshyn, Multifrequency Oscillations of Nonlinear Systems [in Ukrainian], Proc. of the Institute of Mathematics, Ukrainian National Academy of Sciences, Kiev (1998).

  6. A. M. Samoilenko and R. I. Petryshyn, Mathematical Aspects of the Theory of Nonlinear Oscillations [in Ukrainian], Naukova Dumka, Kyiv (2004).

  7. I. A. Lukovskii, V. A. Trotsenko, and V. I. Usyukin, Interaction of Thin-Walled Elastic Elements with Liquid in Moving Cavities [in Russian], Naukova Dumka, Kiev (1989).

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Correspondence to A. N. Timokha.

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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 73, No. 10, pp. 1301–1316, October, 2021. Ukrainian DOI: https://doi.org/10.37863/umzh.v73i10.6704.

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Lukovsky, I.A., Mazko, A.G. & Timokha, A.N. A Review of the Research into the Mathematical Problems of Mechanics and Control Theory at the Institute of Mathematics of the National Academy of Sciences of Ukraine. Ukr Math J 73, 1507–1521 (2022). https://doi.org/10.1007/s11253-022-02010-8

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  • DOI: https://doi.org/10.1007/s11253-022-02010-8

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